A derived equivalence of the Libgober-Teitelbaum and the Batyrev-Borisov mirror constructions

Aimeric Malter

doi:10.1093/imrn/rnad081

A derived equivalence of the Libgober-Teitelbaum and the Batyrev-Borisov mirror constructions

Aimeric Malter^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

71 Downloads (Pure)

Abstract

In this paper, we study a particular mirror construction to the complete intersection of two cubics in ℙ⁵⁠, due to Libgober and Teitelbaum. Using variations of geometric invariant theory and methods of Favero and Kelly, we prove a derived equivalence of this mirror to the Batyrev–Borisov mirror of the complete intersection.

Original language	English
Article number	rnad081
Pages (from-to)	1-39
Number of pages	39
Journal	International Mathematics Research Notices
Volume	2023
Early online date	26 Apr 2023
DOIs	https://doi.org/10.1093/imrn/rnad081
Publication status	E-pub ahead of print - 26 Apr 2023

Access to Document

10.1093/imrn/rnad081Licence: Creative Commons: Attribution (CC BY)

MalterA2023DerivedFinal published version, 551 KBLicence: Creative Commons: Attribution (CC BY)

Cite this

@article{0e290b87ea0f44e49f2002beab23f4f6,

title = "A derived equivalence of the Libgober-Teitelbaum and the Batyrev-Borisov mirror constructions",

abstract = "In this paper, we study a particular mirror construction to the complete intersection of two cubics in ℙ5⁠, due to Libgober and Teitelbaum. Using variations of geometric invariant theory and methods of Favero and Kelly, we prove a derived equivalence of this mirror to the Batyrev–Borisov mirror of the complete intersection.",

author = "Aimeric Malter",

year = "2023",

month = apr,

day = "26",

doi = "10.1093/imrn/rnad081",

language = "English",

volume = "2023",

pages = "1--39",

journal = "International Mathematics Research Notices",

issn = "1073-7928",

publisher = "Oxford University Press",

}

TY - JOUR

T1 - A derived equivalence of the Libgober-Teitelbaum and the Batyrev-Borisov mirror constructions

AU - Malter, Aimeric

PY - 2023/4/26

Y1 - 2023/4/26

N2 - In this paper, we study a particular mirror construction to the complete intersection of two cubics in ℙ5⁠, due to Libgober and Teitelbaum. Using variations of geometric invariant theory and methods of Favero and Kelly, we prove a derived equivalence of this mirror to the Batyrev–Borisov mirror of the complete intersection.

AB - In this paper, we study a particular mirror construction to the complete intersection of two cubics in ℙ5⁠, due to Libgober and Teitelbaum. Using variations of geometric invariant theory and methods of Favero and Kelly, we prove a derived equivalence of this mirror to the Batyrev–Borisov mirror of the complete intersection.

U2 - 10.1093/imrn/rnad081

DO - 10.1093/imrn/rnad081

M3 - Article

SN - 1073-7928

VL - 2023

SP - 1

EP - 39

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

M1 - rnad081

ER -

A derived equivalence of the Libgober-Teitelbaum and the Batyrev-Borisov mirror constructions

Abstract

Access to Document

Fingerprint

Cite this